Question

The cost of 5 boxes of envelopes and 5 boxes of note paper is $25.95. two boxes of envelopes and 6 boxes of note paper cost $22.38. find the cost of each box of envelopes and each box of note paper

Answer 1

So this translates to:

5e + 5n = 25.95
2e + 6n = 22.38

One way to solve that is to multiply the top equation by 2, and the bottom equation by 5:

10e + 10n = 51.90
10e + 30n = 111.90

Then subtract the top from the bottom to get:

20n = 60

and divide by 20 to get

n = 3

So you know that note paper costs $3. Substituting that into the top equation you get:

5e + 5*3 = 25.95 or

5e + 15 = 25.95

Subtracting 15 from both sides you get:

5e = 10.95

Dividing by 5 you get:

e = $2.19